What is the 8185th prime number?
The 8185th prime number is 83921. The next prime is 83933 (a gap of 12) and the one before is 83911.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 8185th one is 83921.
- 2
83921 is prime because no prime up to ā83921 ā 289.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8185th prime is close to 8185 Ć ln(8185) ā 73747, and here it is 83921.
- 4
83921 has no twin: neither 83919 nor 83923 is prime.
Primes around the 8185th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8182 | 83891 | 18 |
| 8183 | 83903 | 12 |
| 8184 | 83911 | 8 |
| 8185 | 83921 | 10 |
| 8186 | 83933 | 12 |
| 8187 | 83939 | 6 |
| 8188 | 83969 | 30 |
Questions
What is the 8185th prime number?
83921.
Which prime number is 83921?
83921 is the 8185th prime number.
What is the sum of the first 8185 primes?
325,002,276.